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arXiv · 1612.05412

Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces

A. Aydın·S. G. Gorokhova·H. Gül
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Abstract

Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is a generalization of nonstandard hull of a normed space.

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A. Aydın, S. G. Gorokhova, H. Gül. 2016-12-16. Nonstandard Hulls of Lattice-Normed Ordered Vector Spaces. https://arxiv.org/abs/1612.05412

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